40296960 has 320 divisors, whose sum is σ = 159096960. Its totient is φ = 9584640.

The previous prime is 40296947. The next prime is 40296961. The reversal of 40296960 is 6969204.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40296961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760294 + ... + 760346.

It is an arithmetic number, because the mean of its divisors is an integer number (497178).

Almost surely, 2^40296960 is an apocalyptic number.

40296960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

40296960 is an abundant number, since it is smaller than the sum of its proper divisors (118800000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40296960 is a wasteful number, since it uses less digits than its factorization.

40296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 40296960 is about 6347.9886578349. The cubic root of 40296960 is about 342.8394276561.

The spelling of 40296960 in words is "forty million, two hundred ninety-six thousand, nine hundred sixty".